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Integrable equations and classical S-matrix
Integrable equations classical S-matrix Mathematical Physics
2012/4/26
We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three...
Families of integrable equations
Integrable lattice equations Yang-Baxter maps Consistency around the cube
2011/7/27
Abstract: We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through B\"acklund tran...
On Separation of Variables for Integrable Equations of Soliton Type
Integrable Equations Soliton Type Separation of Variables
2010/4/1
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(\lambda,\lambda^{-1})$. In part...